Abstract
Modification of the Fock method is used to look systematically for the complexes of energy and momentum which are conserved as a consequence of the vacuum field equations of the second order (real and complex scalar field, real vector field, symmetric tensor field of the linearized and non-linear Einstein theory). In contrast to Fock's results for fields described by equations of the first order, the complexes are not defined uniquely. The non-uniquenesses are eliminated by supplementary conditions.
Similar content being viewed by others
References
Belinfante F. J.: Physica7 (1940), 449.
Bergmann P. G.: „Handbuch der Physik“, Part IV, Springer, Berlin (1962).
Capella A.: Cahiers Phys.16 (1962), 330.
Einstein A.: Berlin. Ber., (1916) S. 167.
Fletcher J. G.: Rev. Mod. Phys.32 (1960), 65.
Fock V. A.: “Theory of Space, Time and Gravitation”, Moscow (1961).
Jankiewicz C.: Bull. Acad. Pol. Sci.10 (1962), 299.
Mie G.: Ann. d. Phys.37 (1912), 511.
Rosenfeld L.: Acad. Roy. Belg. Mémoires XVIII, Fasc. 6 (1940).
Shehter V. M.: Vestnik L. G. U.,No. 11 (1954), 99.
Shehter V. M.: Vestnik L. G. U.,No. 4 (1956), 23.
Weyl H.: Amer. J. Math.66 (1944), 591.
Author information
Authors and Affiliations
Additional information
This paper is based on a diploma thesis worked out at the Department of Theoretical Physics, Faculty of Mathematics and Physics, Charles University.
Rights and permissions
About this article
Cite this article
Bičák, J. ON the question of the uniqueness of the energy-momentum complex in the special and general theory of relativity. Czech J Phys 15, 81–94 (1965). https://doi.org/10.1007/BF01688504
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01688504